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66992976 = 2432736373
BaseRepresentation
bin1111111110001…
…1101101010000
311200001121002100
43333203231100
5114122233401
610351520400
71442300541
oct377435520
9150047070
1066992976
11348a78a6
121a529100
1310b57c1b
148c7c4c8
155d34b86
hex3fe3b50

66992976 has 60 divisors (see below), whose sum is σ = 190085428. Its totient is φ = 22021632.

The previous prime is 66992969. The next prime is 66992983. The reversal of 66992976 is 67929966.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66992969) and next prime (66992983).

It can be written as a sum of positive squares in 2 ways, for example, as 47279376 + 19713600 = 6876^2 + 4440^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7326 + ... + 13698.

Almost surely, 266992976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66992976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95042714).

66992976 is an abundant number, since it is smaller than the sum of its proper divisors (123092452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66992976 is a wasteful number, since it uses less digits than its factorization.

66992976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6460 (or 6451 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 66992976 is about 8184.9237015381. The cubic root of 66992976 is about 406.1406163576.

The spelling of 66992976 in words is "sixty-six million, nine hundred ninety-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 6373 10512 12746 19119 25492 38238 50984 57357 76476 101968 114714 152952 229428 305904 458856 465229 917712 930458 1395687 1860916 2791374 3721832 4187061 5582748 7443664 8374122 11165496 16748244 22330992 33496488 66992976